OPTIMAL DESIGN METHOD OF PI CONTROLLER FOR MULTIPLE PROCESSES AND COUPLED LIQUID LEVEL SYSTEM

Abstract

A systematic method is proposed to design optimal proportional-integral (PI) controller for different processes. An augmented integral squared error performance index is used to design optimal PI controller. The optimal control problem can be equivalently transformed into a nonlinear constraint optimization (NLCO) problem through Lyapunov theorems, therefore optimal PI controller can be obtained by solving NLCO problem. The proposed method is used to design optimal PI controllers for multiple processes. System performances of different tuning methods are studied. Control weight factorrs effects on dynamic performances are analyzed. Optimal PI controllers of the proposed method are applied for coupled liquid level system under various set points. Both simulation results and experiment results show effectiveness and usefulness of the proposed method.